Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite volume corrections

DOI10.1016/j.cma.2024.117311MaRDI QIDQ6609827

Mario Ricchiuto, Simone Chiocchetti, Walter Boscheri, Elena Gaburro

Publication date: 24 September 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

local conservation hyperbolic PDEs non-conservative formulation \textit{a posteriori} subcell finite volume (FV) limiter ADER discontinuous Galerkin (DG) schemes \textit{a posteriori} conservative correction Lax-Wendroff theorem with error defect multi-material Euler equations

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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